73091680 has 48 divisors (see below), whose sum is σ = 174427344. Its totient is φ = 28940800.

The previous prime is 73091663. The next prime is 73091693. The reversal of 73091680 is 8619037.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13899 + ... + 18421.

It is an arithmetic number, because the mean of its divisors is an integer number (3633903).

Almost surely, 2^73091680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73091680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87213672).

73091680 is an abundant number, since it is smaller than the sum of its proper divisors (101335664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73091680 is a wasteful number, since it uses less digits than its factorization.

73091680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4639 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 73091680 is about 8549.3672280468. The cubic root of 73091680 is about 418.1088061798.

The spelling of 73091680 in words is "seventy-three million, ninety-one thousand, six hundred eighty".